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  1. SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALS

    23 Nov 2018 | General Resources | Contributor(s): Brian Winkel

    SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALSIn addition to Problems and Team Submissions (see Supplemental Docs Tab) you can see MathBowl materials and Faculty Development Workshop materials used on Challenge Saturday, 27 October 2018. Just click on the title you want above. Faculty...

  2. 3-043-S-BallisticModeling-SpongeDart

    20 Nov 2018 | Modeling Scenarios | Contributor(s): Jean Marie Linhart, Peter Howard

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

  3. 3-043-T-BallisticModeling-SpongeDart

    20 Nov 2018 | Modeling Scenarios | Contributor(s): Jean Marie Linhart, Peter Howard

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

  4. Secrets of the Mathematical Contest in Modeling

    13 Nov 2018 | Articles and Publications | Contributor(s): Kelly Cline

    Published in 2009, Dr. Kelly Cline, Carroll College, Helena MT USA, discusses his evolving personal strategy for modeling competitions from young student participant to mature faculty coach. Dr. Cline gives many practical hints and "secrets," all based on thoughtful reflection from his...

  5. 6-065-T-InternetPlatformUsers

    30 Oct 2018 | Modeling Scenarios | Contributor(s): Victoria Rayskin

    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

  6. 6-065-S-InternetPlatformUsers

    30 Oct 2018 | Modeling Scenarios | Contributor(s): Victoria Rayskin

    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

  7. 6-011-T-HumansVsZombies

    25 Oct 2018 | Modeling Scenarios | Contributor(s): Hope McIlwain

    In this activity, students will analyze the SIR differential equations model in the context of a zombie invasion of a human population. First the students will analyze a two equation system representing only two populations, humans and zombies. Then a new population, the recovered zombies, will...

  8. 6-011-S - HumansVsZombies

    25 Oct 2018 | Modeling Scenarios | Contributor(s): Hope McIlwain

    In this activity, students will analyze the SIR differential equations model in the context of a zombie invasion of a human population. First the students will analyze a two equation system representing only two populations, humans and zombies. Then a new population, the recovered zombies, will...

  9. SCUDEM III 2018 Problems

    18 Oct 2018 | General Resources | Contributor(s): SCUDEM III 2018

    Here are the problems used in SCUDEM III 2018 with release time at one minute past midnight on 19 October 2018. There are three problems and one document which serves as a reference document for one of the problems.You can gain access to all these files under the "Supporting Docs"...

  10. 6-010-T-SocialCampaigns

    23 Sep 2018 | Modeling Scenarios | Contributor(s): Hyunsun Lee

    Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...

  11. 6-010-S-SocialCampaigns

    23 Sep 2018 | Modeling Scenarios | Contributor(s): Hyunsun Lee

    Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a...

  12. 6-024-T-DronePackageDelivery

    18 Sep 2018 | Modeling Scenarios | Contributor(s): Eric Stachura, Robert Krueger

    In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the...

  13. 6-024-S-DronePackageDelivery

    18 Sep 2018 | Modeling Scenarios | Contributor(s): Eric Stachura, Robert Krueger

    In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the analytical...

  14. 6-019-T-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  15. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  16. 1-062-T-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios | Contributor(s): Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential growth fit, difference equation, differential equation, and parameter estimation using EXCEL spreadsheet. In this particular modeling...

  17. 1-062-S-BacterialGrowth

    15 Sep 2018 | Modeling Scenarios | Contributor(s): Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

  18. 6-006-T-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios | Contributor(s): Jue Wang

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game. Standard SIR and SIRS models are introduced to guide students as they set up the...

  19. 6-006-S-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios | Contributor(s): Jue Wang

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game. Many alternate rule sets provide options to formulate different models. Students solve...

  20. 2015-ZhangEtAl-Predator Prey Models

    02 Sep 2018 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Article Review and AnnotationZhang, Xinyu Jiguo Cao,  and Raymond J. Carroll. 2015On the Selection of Ordinary Differential Equation Models with Application to Predator-Prey Dynamical Models. Biometrics 71: 131–138Abstract: We consider model selection and estimation in a context where...